{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# What's New - Internal "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This new edition of `made-with-gs-quant` is tailored exclusively for our internal users and showcases some of the latest features of the internal gs-quant toolkit. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook we find solutions for some the most popular questions we get such as:\n",
    "+ How do I generate an FX dual binary pricing grid in gs_quant? \n",
    "+ How do I load the trade that my client did with us? \n",
    "+ How do I price this rates structure live?\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The content of this notebook is split into:\n",
    "1. [Let's get started with gs-quant](#1---Let's-get-started-with-gs-quant)\n",
    "2. [TDAPI package](#2---TDAPI-package)\n",
    "3. [Load trade from SecDb](#3---Load-trade-from-SecDb)\n",
    "4. [Live Pricing](#4---Live-Pricing)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1 - Let's get started with gs-quant\n",
    "Upon installing the `gs-quant` and `gs-quant[internal]` packages ([see here](https://gitlab.gs.com/marquee/analytics/gs_quant_internal#internal-users) for instructions), start your session using your kerberos entitlements directly (no need to register an app).  \n",
    "                    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.session import GsSession\n",
    "GsSession.use() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2 - TDAPI package"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On top of the [externalised instruments](https://developer.gs.com/docs/gsquant/guides/Pricing-and-Risk/instruments/) supported in gs-quant, TDAPI enables you to directly leverage a wider range of instruments from SecDb, considerably widening the available universe for pricing and risk analytics."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To see which instruments are supported, simply import the package and type `tdapi.[tab]`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import gs_quant_internal.tdapi as tdapi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image(filename='images/tdapi_package.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook we showcase the use of the TDAPI package using the example of Dual FX Binary Options. \n",
    "Let's consider 2 months options with payoff of $10M if strike 1 < EURUSD and GBPUSD < strike 2. These options are composed of 2 nested legs built as below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.markets.portfolio import Portfolio\n",
    "\n",
    "def FXDualBinaryOption(pair_1, pair_2, strikes_1, strikes_2, expiry, size):\n",
    "    portfolio = Portfolio()\n",
    "    for strike_1 in strikes_1:\n",
    "        for strike_2 in strikes_2:\n",
    "            over, under = pair_1.split('/')\n",
    "            leg_1 = tdapi.FXMultiCrossBinaryChildBuilder(over=over, under=under, strike=strike_1)\n",
    "            over, under = pair_2.split('/')\n",
    "            leg_2 = tdapi.FXMultiCrossBinaryChildBuilder(over=over, under=under, strike=strike_2, striketype='Binary Put')\n",
    "            dual = tdapi.FXMultiCrossBinaryBuilder(expiry=expiry, size=size, legs=(leg_1, leg_2), premium=0)\n",
    "            portfolio.append(dual)\n",
    "    return portfolio\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For assistance while building the instrument, `shif+tab` on the instrument name displays the list of parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image(filename='images/instrument_help.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For each leg we consider a range of 9 possible strikes varying around the current spot rate of the associated currency pair. We build a portfolio of 81 options (9 USD/EUR strikes x 9 USD/GBP strikes) and compute the price for each option as a percentage of the payoff. Please note that the code uses internal SecDB notation for FX crosses (e.g. USD/EUR)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "eur_strikes = [\"s{:+}%\".format(x) for x in range(-4, 5)]\n",
    "gbp_strikes = [\"s{:+}%\".format(x) for x in range(-4, 5)]\n",
    "\n",
    "dual_options = FXDualBinaryOption('USD/EUR', 'USD/GBP', eur_strikes, gbp_strikes, '2m', 10e6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.markets import PricingContext\n",
    "import pandas as pd\n",
    "\n",
    "with PricingContext():\n",
    "    dual_prices = dual_options.dollar_price()\n",
    "\n",
    "prices = pd.DataFrame(index=eur_strikes, columns=gbp_strikes)\n",
    "for dual in dual_options:\n",
    "    prices.loc[dual.legs[0].strike][dual.legs[1].strike] = dual_prices[dual] / 10e6"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now visualise the price repartition of the options on the strike grid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.subplots(figsize=(14, 8))\n",
    "ax = sns.heatmap(prices.apply(pd.to_numeric), annot=True, fmt='.2%', cmap='YlGn')\n",
    "ax.set(ylabel='USD/EUR Strikes', xlabel='USD/GBP Strikes', title='Option prices depending on Strike')\n",
    "ax.xaxis.tick_top()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By looking at prices as a % of premium, we can assimilate this grid of binary prices to the discounted value of the risk neutral probability of both crosses being in the money in two months time. This begs the question of how correlated they are and what premium we are saving from the correlation effect of USD/EUR and USD/GBP for the various different events."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's investigate by building a similar price grid for the individual binary options represented by the two legs. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def FXBinaryOptionPrice(pair, strike, expiry, size, optiontype='Call'):\n",
    "    over, under = pair.split('/')\n",
    "    with PricingContext():\n",
    "        option = tdapi.FXBinaryBuilder(over=over, under=under, strike=strike, expiry=expiry, size=size,\n",
    "                                       premium=0, optiontype=optiontype)\n",
    "        price = option.dollar_price()\n",
    "    return price.result()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "indep_prices = pd.DataFrame(index=eur_strikes, columns=gbp_strikes)\n",
    "for dual in dual_options:\n",
    "    eurusd_price = FXBinaryOptionPrice('USD/EUR', dual.legs[0].strike, expiry='2m', size=10e6)\n",
    "    gbpusd_price = FXBinaryOptionPrice('USD/GBP', dual.legs[1].strike, expiry='2m', size=10e6,\n",
    "                                        optiontype='Put')\n",
    "    indep_prices.loc[dual.legs[0].strike][dual.legs[1].strike] = eurusd_price/10e6 * gbpusd_price/10e6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize=(14, 8))\n",
    "ax = sns.heatmap(indep_prices.apply(pd.to_numeric)-prices.apply(pd.to_numeric), annot=True, fmt='.2%', cmap='YlGn')\n",
    "ax.set(ylabel='USD/EUR Strikes', xlabel='USD/GBP Strikes', title='Option price probabilities assuming independance of xccy pairs')\n",
    "ax.xaxis.tick_top()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By comparing the prices of the individual binary options in the above table to that of the dual binary option, you can see an approximation for the premium saved (or cost) from the correlation factor of the events."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3 - Load trade from SecDb"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Going one step further into leveraging the resources of SecDb, as an internal users you are now able to load real SecDb trades or portfolio of trades referenced by their SecDb ETI or Book ID.\n",
    "With this feature you can now run concrete risk analysis your own book. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With `from_book()` you can easily create a portfolio from your existing SecDb book:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "portfolio = Portfolio.from_book('my Book ID') # replace with your secDb book ID e.g. '76037320'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Your gs-quant portfolio now contains instruments based on your SecDb book leaves:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(SDBBZCJ333333WQR3D (CashPaymentBuilder),\n",
       " SDBBZCJ333333WQR3D (CashPaymentBuilder),\n",
       " LTAABBCS3333PGQGCZ7A (IRSwaptionBuilder),\n",
       " LTAABBCS3333PGQGCZ7A (CashPaymentBuilder),\n",
       " LTAABBCS3333NRX9CCJA (CashPaymentBuilder),\n",
       " LTAABBCS3333NRX9CCJA (IRSwaptionBuilder))"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.as_dict()['instruments'][:5]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can use all the gs-quant functionalities to price and calculate any of the available risk measures on your own portfolio:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.risk import DollarPrice, IRDeltaParallel\n",
    "results = portfolio.calc((DollarPrice, IRDeltaParallel))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To view risk results, you may directly reference the SecDb leaf:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "({DollarPrice (RiskMeasure): -191826.0084344892,\n",
       "  IRDeltaParallel (RiskMeasure): -13401.772371713341},\n",
       " {DollarPrice (RiskMeasure): 701555.9420614609,\n",
       "  IRDeltaParallel (RiskMeasure): -14.823504145097733})"
      ]
     },
     "execution_count": 167,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results[portfolio['my leaf name']] # replace with your SecDb leaf e.g. 'LTAABBCS3333PGQGCZ7A'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or view book level results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "122075528.76810677"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results[DollarPrice].aggregate()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For trades involving supported instruments, `from.eti()` creates a gs-quant portfolio directly from the existing SecDb trade referenced by the ETI number:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "portfolio = Portfolio.from_eti('my ETI number') # Replace with your ETI trade number"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With `from_book` and `from_eti`, you can now fully leverage the gs-quant risk package on your own SecDb books! **Please note that all portfolio types are not yet handled.** Should you experience any issue, reach-out to the `gs-quant` distro.\n",
    "For more examples of what you can do with Portfolios, refer to the [examples folder](https://nbviewer.jupyter.org/github/goldmansachs/gs-quant/tree/master/gs_quant/examples/) and [previous made_with_gs_quant notebooks](https://nbviewer.jupyter.org/github/goldmansachs/gs-quant/tree/master/gs_quant/made_with_gs_quant/) of `made_with_gs_quant`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4 - Live Pricing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, another powerful new feature brought to our internal users is the ability to get live prices."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Re-using the dual option portfolio built in the first section, let's compare our portfolio price under yesterday's market data at close and live pricing environments.\n",
    "Here we use a PricingContext with batch to group the requests together and avoid timeouts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "160,206,436\n",
      "158,675,150\n"
     ]
    }
   ],
   "source": [
    "from gs_quant.markets import LiveMarket\n",
    "\n",
    "live_pricing = PricingContext(market=LiveMarket('LDN'), market_data_location='LDN')\n",
    "close_pricing = PricingContext(is_batch=True, is_async=True)\n",
    "\n",
    "with live_pricing:\n",
    "    prices_live = dual_options.dollar_price()\n",
    "with close_pricing:\n",
    "    prices_close = dual_options.dollar_price()\n",
    "    \n",
    "print('{:,.0f}'.format(prices_live.aggregate()))\n",
    "print('{:,.0f}'.format(prices_close.aggregate()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`LiveMarket` accesses the latest market data available for the specified market location. This means you can now use gs-quant to compute real-time prices and intra-day risk on your portfolio."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This closes this first internal edition of `made_with_gs_quant` please continue sharing your feedback on to make `gs-quant` even more useful to you, and look out for the next editions of `What's New` in `made_with_gs_quant`. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Happy hacking!"
   ]
  }
 ],
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